### Solution to problems – class 9 – Set 1 Q 60

##### July 1, 2019

## Problem Statement

**60) A metallic sphere of mass 2 kg and volume 2.5 x 10 ^{-4} **m

^{3}

**is completely immersed in water.**

**Find the buoyant force exerted by water on the sphere.**

**Density of water = 1000 kg/m**

^{3}## Solution

Volume of the water displaced = volume of the completely immersed sphere=**2.5 x 10 ^{-4} m^{3}**

Mass of the displaced water = volume x density =

**2.5 x 10**

^{-4}x 1000 kg =0.25 kg**Weight of the displaced water = 0.25 * 9.8 N =2.45 N**

**The buoyant force is 2.45 N**